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Finding the Fourth Proportional to 656.10, 984.19 and 266.05

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Solution

The fourth proportional to 656.10, 984.19 and 266.05 is: 399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.10 : 984.19 = 266.05 : x
  2. Step 2: Convert to fraction form
    656.10/984.19 = 266.05/x
  3. Step 3: Cross multiply
    656.10x = 984.19 × 266.05
  4. Step 4: Simplify right side
    656.10x = 261,839.46
  5. Step 5: Solve for x
    x = 261,839.46/656.10
  6. Step 6: Final answer
    x = 399.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.